1. The problem statement, all variables and given/known data The Vector a= -2i -3j and is orthogonal to vector b that has the same length as a. The third vector c has the dot products ca= 8m^2 and cb= 9m^2. What are the components of c? c = ______i + _____ j m 2. Relevant equations 3. The attempt at a solution I know that (a⃗ +b⃗ )⋅c⃗ =a⃗ ⋅c⃗ +b⃗ ⋅c. Since I have the dot product of ac and bct and I know (a + b) I get (-5i - j )⋅c⃗ = 17. If I do the dot product of (a+b)c I get -5Ci - Cj = 17. This is how I have done previous problems but I have gotten them wrong. Can someone explain to me if I am going in the right direction or if I am doing it wrong. Thank you.